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Mathematics > Representation Theory
Title: An upper bound for the Lusternik-Schnirelmann category of relative Sullivan algebras
(Submitted on 24 Apr 2024)
Abstract: This paper addresses a question posed by F\'elix, Halperin and Thomas. We prove that the Lusternik-Schnirelmann category of a relative Sullivan algebra is finite if such invariants of the base algebra and fiber algebra are both finite. Furthermore, we provide a similar estimation for the Toomer invariant.
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